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Efficient Combinatorial Optimization via Heat Diffusion
March 14, 2024, 4:43 a.m. | Hengyuan Ma, Wenlian Lu, Jianfeng Feng
cs.LG updates on arXiv.org arxiv.org
Abstract: Combinatorial optimization problems are widespread but inherently challenging due to their discrete nature.The primary limitation of existing methods is that they can only access a small fraction of the solution space at each iteration, resulting in limited efficiency for searching the global optimal. To overcome this challenge, diverging from conventional efforts of expanding the solver's search scope, we focus on enabling information to actively propagate to the solver through heat diffusion. By transforming the target …
abstract arxiv challenge cs.lg diffusion efficiency global heat iteration math.co nature optimization physics.app-ph searching small solution space stat.ml type via
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